Question

The energy of second Bohr orbit of the hydrogen atom is $-328kJ{mol}^{-1}$. Hence, the energy of fourth Bohr orbit would be:

• A. $-41kJ{mol}^{-1}$
• B. $-1312kJ{mol}^{-1}$
• C. $-164kJ{mol}^{-1}$
• D. $-82kJ{mol}^{-1}$

Answer 1

The correct option is D $-82kJ{mol}^{-1}$

$E\propto \frac{1}{n^2}$

$\frac{E_4}{E_2}={\left(\frac{n_2}{n_4}\right)}^2$

$E_4=-328kJ/mol\times {\left(\frac{n_2}{n_4}\right)}^2$

$E_4=-328kJ/mol\times {\left(\frac{2}{4}\right)}^2$

$E_4=-82kJ/mol$

Hence, the energy of fourth Bohr orbit would be $-82kJ{mol}^{-1}$.